Computer construction of species richness maps: Testing a new type of multifractal algorithm

dc.contributor.authorPerrier, Edith
dc.contributor.authorLaurie, Henri
dc.date.accessioned2018-03-28T08:27:23Z
dc.date.available2018-03-28T08:27:23Z
dc.date.issued2008
dc.date.updated2016-01-18T10:25:09Z
dc.description.abstractWe show how a new theoretical multifractal model provides means to generate virtual maps of highly variable spatial distributions of species richness. It should allow for various computer experiments in landscape ecology and the study of biodiversity. In this paper, the explicit distribution of species-representative individuals over a large range of scale leads to an original algorithm for the estimation of the Renyi dimensions of a multifractal measure. The method is successfully tested for simulated (S, A) data sets, where the variable S is simply the number of species found in a given domain of area A. This easy tool will help to characterize the spatial variability of multiscale density distributions in many fields, requiring only randomly sampled data at different locations and scales.
dc.identifier.apacitationPerrier, E., & Laurie, H. (2008). Computer construction of species richness maps: Testing a new type of multifractal algorithm. <i>South African Journal of Science</i>, http://hdl.handle.net/11427/27725en_ZA
dc.identifier.chicagocitationPerrier, Edith, and Henri Laurie "Computer construction of species richness maps: Testing a new type of multifractal algorithm." <i>South African Journal of Science</i> (2008) http://hdl.handle.net/11427/27725en_ZA
dc.identifier.citationPerrier, E., & Laurie, H. (2008). Computer construction of species richness maps: testing a new type of multifractal algorithm: biological modelling. South African Journal of Science, 104(5), 209-215.
dc.identifier.ris TY - Journal Article AU - Perrier, Edith AU - Laurie, Henri AB - We show how a new theoretical multifractal model provides means to generate virtual maps of highly variable spatial distributions of species richness. It should allow for various computer experiments in landscape ecology and the study of biodiversity. In this paper, the explicit distribution of species-representative individuals over a large range of scale leads to an original algorithm for the estimation of the Renyi dimensions of a multifractal measure. The method is successfully tested for simulated (S, A) data sets, where the variable S is simply the number of species found in a given domain of area A. This easy tool will help to characterize the spatial variability of multiscale density distributions in many fields, requiring only randomly sampled data at different locations and scales. DA - 2008 DB - OpenUCT DP - University of Cape Town J1 - South African Journal of Science LK - https://open.uct.ac.za PB - University of Cape Town PY - 2008 T1 - Computer construction of species richness maps: Testing a new type of multifractal algorithm TI - Computer construction of species richness maps: Testing a new type of multifractal algorithm UR - http://hdl.handle.net/11427/27725 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/27725
dc.identifier.vancouvercitationPerrier E, Laurie H. Computer construction of species richness maps: Testing a new type of multifractal algorithm. South African Journal of Science. 2008; http://hdl.handle.net/11427/27725.en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.sourceSouth African Journal of Science
dc.source.urihttps://www.sajs.co.za/
dc.titleComputer construction of species richness maps: Testing a new type of multifractal algorithm
dc.typeJournal Article
uct.type.filetypeText
uct.type.filetypeImage
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